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In the title compound, {[Cu(C18H12N6)]NO3·H2O}n, the CuI ion is coordinated by three N atoms [Cu—N 1.962 (3)–2.019 (3) Å] from three 2,4,6-tri-4-pyridyl-1,3,5-triazine (L) ligands. Each L ligand bridges three CuI atoms, generating a positively charged three-dimensional polymeric network with voids propagated along the b axis. These voids are filled with NO3− anions with a shortest Cu...O distance of 2.645 (3) Å and water molecules, which are linked into negatively charged helical chains via intermolecular O—H...O hydrogen bonds.